Mathematics, Grade 6

Unit 1: Number Relationships

Large and small numbers, the place-value pattern, and integers on a number line.

• Large and small numbers around us
• The place-value pattern

• Integers and the number line
• Comparing and ordering integers

Unit 2: Fractions, Percent, and Ratio

Improper fractions and mixed numbers, percent as out of 100, and ratios in many forms.

• Improper fractions greater than one
• Converting and placing fractions

• Percent means out of 100
• Modelling and recording percents

• Writing ratios in many forms
• Part-to-part and part-to-whole ratios

Unit 3: Number Theory and Order of Operations

Prime and composite numbers, factors and multiples, and the order of operations.

• Prime and composite numbers
• Factors and multiples

• Order of operations

Unit 4: Decimal Operations

Multiplying and dividing decimals with estimation, and solving percent and ratio problems.

• Estimating to place the decimal point
• Multiplying and dividing decimals

• Solving percent problems
• Solving ratio problems

Unit 5: Patterns and Relationships

Describing relationships in tables and graphs, writing pattern expressions, and using tables to solve problems.

• Describing relationships in a table
• Writing a pattern as an expression

• Reading and building graphs of patterns
• Using tables to predict and solve

Unit 6: Equality and Equations

The commutative property and keeping an equation balanced across the four operations.

• The commutative property
• Preserving equality across operations

Unit 7: Measurement

Angles, perimeter and area formulas, volume of prisms, and angle sums.

• Classifying and estimating angles
• Measuring and drawing angles
• Angle sums of triangles and quadrilaterals

• Perimeter and area formulas
• Volume of right rectangular prisms

Unit 8: Geometry and Transformations

Sorting triangles and polygons, the first-quadrant Cartesian plane, and transformations.

• Classifying triangles
• Drawing and replicating triangles
• Regular and irregular polygons
• Congruence in a regular polygon

• Plotting points in the first quadrant
• Shapes and distances on the plane

• Describing transformations on the plane
• Performing transformations and finding the image
• Combining successive transformations

Unit 9: Data and Graphs

Collecting data, choosing a graph, and creating and interpreting line graphs.

• Choosing a data collection method
• Choosing an appropriate graph

• Creating and interpreting line graphs

Unit 10: Probability

Listing outcomes, theoretical and experimental probability, and comparing them.

• Listing outcomes and theoretical probability
• Comparing theoretical and experimental probability